Coupled Magneto-Mechanical Analysis of Iron Sheets Under Biaxial Stress

Abstract

A novel single sheet tester design is proposed and a directly coupled magneto-mechanical model is used to numerically analyze the behavior of iron sheets under biaxial magneto-mechanical loading applied by the tester device. Magneto-mechanically coupled constitutive equations of the material derived using an energy based approach are integrated into a finite element model of the single sheet tester device and simulations are performed to solve for the displacement field and the magnetic vector potential in the sample. The obtained numerical results of magnetostriction evolution due to uniaxial stress and stress induced anisotropies due to permeability variation under different magneto-mechanical loadings are presented. The simulation results are compared to the results published in the literature for the purpose of validation.

Influence of magnetic forces and magnetostriction on the vibration behavior of an induction motor

“…In order to couple the magnetic and elastic properties of the material, the constitutive equations are formulated from a Helmholtz free energy density ψ [6][7][8][9]. For an isotropic magneto-elastic material, ψ is expressed as a function of five scalar invariants, which depend on the magnetic flux density vector B and total strain tensor ε:…”

“…This method has been studied and further developed in various researches. For example, in [7], this model is extended to include magnetic hysteresis, and in [8,9], the coupling in electrical steel sheets under biaxial and multiaxial stress is presented using the same model.…”

Magnetomechanical Model for Hysteresis in Electrical Steel Sheet

“…magnetomechanical) model is required during the design process of electrical machines. Recent studies based on the multi-scale approach [10], [13], [14] and the thermodynamics approach [8], [15] are relevant effort to tackle the coupled problem. However, these coupled models are anhysteretic and do not account for the localized bowing of the BH-loop observed during measurements (Fig.…”

Modeling of Hysteresis Losses in Ferromagnetic Laminations Under Mechanical Stress

“…This term was thus omitted from the model in this paper. This causes some error in the volume magnetostriction, but ensures a positive differential permeability also under multiaxial stress [13] and keeps the NR iteration (13)-(14) stable.…”